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The anti derivative of (sqrt(x)+1/(sqrt(...

The anti derivative of `(sqrt(x)+1/(sqrt(x)))`equals(A) `1/3x^(1/3)+2x^(1/2)+C` (B) `2/3x^(2/3)+1/2x^2+C`(C) `2/3x^(3/2)+2x^(1/2)+C` (D) `3/2x^(3/2)+1/2x^(1/2)+C`

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To find the antiderivative of the function \( \sqrt{x} + \frac{1}{\sqrt{x}} \), we will integrate the expression step by step. ### Step 1: Rewrite the expression The expression can be rewritten using exponents: \[ \sqrt{x} = x^{1/2} \quad \text{and} \quad \frac{1}{\sqrt{x}} = x^{-1/2} \] Thus, we can express the integral as: ...
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